253845090 has 144 divisors (see below), whose sum is σ = 707843448. Its totient is φ = 65505024.

The previous prime is 253845083. The next prime is 253845103. The reversal of 253845090 is 90548352.

253845090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 229431609 + 24413481 = 15147^2 + 4941^2 .

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3477294 + ... + 3477366.

Almost surely, 2^253845090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253845090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353921724).

253845090 is an abundant number, since it is smaller than the sum of its proper divisors (453998358).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

253845090 is an frugal number, since it uses more digits than its factorization.

253845090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 253845090 is about 15932.5167503442. The cubic root of 253845090 is about 633.1737803680.

The spelling of 253845090 in words is "two hundred fifty-three million, eight hundred forty-five thousand, ninety".